Author:
Bachman George,Stratigos Panagiotis D.
Abstract
AbstractLet ℒ be a lattice of subsets of a setX. LetMR(ℒ) denote the set of all ℒ-regular (finitely additive) measures on the algebra generated by ℒ. Under the assumption that ℒ is disjunctive, in the first part of the paper, criteria are obtained for the σ-smoothness, τ-smoothness, and tightness of elements ofMR(ℒ) in terms of the general Wallman remander. in the second part of the paper, various applications are given, and, in particular, extensions and refinements of the Yoside-Hewitt Decom position Theorem are obtained.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
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